Symmetric and Quadratic Complexes with Geometric Control

@inproceedings{Ranicki1998SymmetricAQ,
  title={Symmetric and Quadratic Complexes with Geometric Control},
  author={Andrew A. Ranicki and M Yamasaki},
  year={1998}
}
for any oriented covering X̃ with group of covering translations π. If X̃ is the universal cover, σ∗(f, b) is the surgery obstruction, and σ∗(f, b) = 0 if (and for n ≥ 5 only if) (f, b) is normally bordant to a homotopy equivalence. The n-dimensional quadratic L-group Ln(A) was expressed in Ranicki [4,6] as the cobordism group of n-dimensional quadratic Poincaré complexes over A, which are chain complexes C of finitely generated free A-modules with an n-dimensional quadratic structure… CONTINUE READING

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On manifolds with free abelian fundamental group and applications ( Pontrjagin classes , smoothings , high - dimensional knots ) , Izv

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